1045383758848 has 352 divisors, whose sum is σ = 2631382145280. Its totient is φ = 408164106240.

The previous prime is 1045383758843. The next prime is 1045383758863. The reversal of 1045383758848 is 8488573835401.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1045383758848.

It is not an unprimeable number, because it can be changed into a prime (1045383758843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124609438 + ... + 124617826.

Almost surely, 2^{1045383758848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045383758848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315691072640).

1045383758848 is an abundant number, since it is smaller than the sum of its proper divisors (1585998386432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045383758848 is a wasteful number, since it uses less digits than its factorization.

1045383758848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 64.

The spelling of 1045383758848 in words is "one trillion, forty-five billion, three hundred eighty-three million, seven hundred fifty-eight thousand, eight hundred forty-eight".